conj

kyosu::conj = eve::functor<conj_t>

inlineconstexpr

Computes the conjugate value.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<concepts::cayley_dickson T> constexpr T conj(T z) noexcept;
   template<concepts::real T>           constexpr T conj(T z) noexcept;
}

Parameters

• z: Value to conjugate.

Return value

Returns the conjugate of its argument. i.e. the value with the same real part and the opposite pure part.

For real inputs the call reduces to identity.

External references

• C++ standard reference: complex conj
• Wolfram MathWorld: complex conjugate
• Wikipedia:complex conjugate

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  using kyosu::conj;
  using kyosu::complex_t;
  using kyosu::quaternion_t;
 
  std::cout << "Real:        ";
  std::cout << 72.9f << " -> " << conj(72.9f) << "\n";
 
  std::cout << "Complex:     ";
  std::cout << kyosu::complex_t<float>(3.5f,-2.9f) << " -> " << conj(kyosu::complex_t<float>(3.5f,-2.9f)) << "\n";
 
  std::cout << "Quaternion:  ";
  std::cout << kyosu::quaternion_t<double>(1.,2.,3.,4.) << " -> " << conj(kyosu::quaternion_t<double>(1.,2.,3.,4.)) << "\n";
 
  std::cout << "SIMD:        ";
  using wc_t = eve::wide<kyosu::complex_t<double>, eve::fixed<2>>;
  std::cout << wc_t(kyosu::complex_t<double>(1.3,-3.7)) << " -> " << conj(wc_t(kyosu::complex_t<double>(1.3,-3.7))) << "\n";
 
  return 0;
}